VOLTERRA SERIES APPROACH FOR NONLINEAR AEROELASTIC RESPONSE OF 2-D LIFTING SURFACES

The problem of t he determination of t he subcritical aeroelastic response and flutter instability of nonlinear two-dimensional li fting surfaces in an incompressible flow-field via Volterra series approach is addressed. The related aeroelastic governing equations are based upon the inclusion of structural nonlinearities, of t he linear unsteady aerodynamics and consideration of an arbitrary time-dependent external pressure pulse. Unsteady aeroelastic nonlinear kernels are determined, and b ased on these, frequency a nd time histories of t he subcritical aeroelastic re sponse are obtained, and in this context the influence of geometric nonlinearities is emphasized. Conclusions and results displaying the implications of the considered effects are supplied.

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